TSTP Solution File: LAT273-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT273-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 03:49:54 EDT 2022
% Result : Unsatisfiable 0.69s 1.09s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT273-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Wed Jun 29 17:41:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.69/1.09 *** allocated 10000 integers for termspace/termends
% 0.69/1.09 *** allocated 10000 integers for clauses
% 0.69/1.09 *** allocated 10000 integers for justifications
% 0.69/1.09 Bliksem 1.12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Automatic Strategy Selection
% 0.69/1.09
% 0.69/1.09 Clauses:
% 0.69/1.09 [
% 0.69/1.09 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, 'c_Tarski_Ointerval'( T
% 0.69/1.09 , U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( X, W, Z, Z ), T,
% 0.69/1.09 'tc_prod'( Z, Z ) ) ],
% 0.69/1.09 [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z, 'v_A',
% 0.69/1.09 't_a' ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.69/1.09 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( X, 'v_r', Z ), X, 't_a' ) ],
% 0.69/1.09 [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z, 'v_A',
% 0.69/1.09 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_sko__4mi'( X, 'v_r', Z ), Z, 't_a',
% 0.69/1.09 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( Y, Z,
% 0.69/1.09 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ],
% 0.69/1.09 [ 'c_in'( 'v_b', 'v_A', 't_a' ) ],
% 0.69/1.09 [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 'v_a', 'v_b',
% 0.69/1.09 't_a' ), 'tc_set'( 't_a' ) ) ],
% 0.69/1.09 [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ],
% 0.69/1.09 [ ~( 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.69/1.09 't_a', 't_a' ) ) ) ]
% 0.69/1.09 ] .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 percentage equality = 0.000000, percentage horn = 0.857143
% 0.69/1.09 This a non-horn, non-equality problem
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Options Used:
% 0.69/1.09
% 0.69/1.09 useres = 1
% 0.69/1.09 useparamod = 0
% 0.69/1.09 useeqrefl = 0
% 0.69/1.09 useeqfact = 0
% 0.69/1.09 usefactor = 1
% 0.69/1.09 usesimpsplitting = 0
% 0.69/1.09 usesimpdemod = 0
% 0.69/1.09 usesimpres = 3
% 0.69/1.09
% 0.69/1.09 resimpinuse = 1000
% 0.69/1.09 resimpclauses = 20000
% 0.69/1.09 substype = standard
% 0.69/1.09 backwardsubs = 1
% 0.69/1.09 selectoldest = 5
% 0.69/1.09
% 0.69/1.09 litorderings [0] = split
% 0.69/1.09 litorderings [1] = liftord
% 0.69/1.09
% 0.69/1.09 termordering = none
% 0.69/1.09
% 0.69/1.09 litapriori = 1
% 0.69/1.09 termapriori = 0
% 0.69/1.09 litaposteriori = 0
% 0.69/1.09 termaposteriori = 0
% 0.69/1.09 demodaposteriori = 0
% 0.69/1.09 ordereqreflfact = 0
% 0.69/1.09
% 0.69/1.09 litselect = none
% 0.69/1.09
% 0.69/1.09 maxweight = 15
% 0.69/1.09 maxdepth = 30000
% 0.69/1.09 maxlength = 115
% 0.69/1.09 maxnrvars = 195
% 0.69/1.09 excuselevel = 1
% 0.69/1.09 increasemaxweight = 1
% 0.69/1.09
% 0.69/1.09 maxselected = 10000000
% 0.69/1.09 maxnrclauses = 10000000
% 0.69/1.09
% 0.69/1.09 showgenerated = 0
% 0.69/1.09 showkept = 0
% 0.69/1.09 showselected = 0
% 0.69/1.09 showdeleted = 0
% 0.69/1.09 showresimp = 1
% 0.69/1.09 showstatus = 2000
% 0.69/1.09
% 0.69/1.09 prologoutput = 1
% 0.69/1.09 nrgoals = 5000000
% 0.69/1.09 totalproof = 1
% 0.69/1.09
% 0.69/1.09 Symbols occurring in the translation:
% 0.69/1.09
% 0.69/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.09 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.69/1.09 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 0.69/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 'c_in' [42, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.69/1.09 'c_Tarski_Ointerval' [46, 4] (w:1, o:60, a:1, s:1, b:0),
% 0.69/1.09 'tc_set' [47, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.69/1.09 'c_lessequals' [48, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.69/1.09 'c_Pair' [49, 4] (w:1, o:61, a:1, s:1, b:0),
% 0.69/1.09 'tc_prod' [50, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.69/1.09 'v_cl' [51, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.69/1.09 't_a' [53, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.69/1.09 'c_Tarski_OisLub' [54, 4] (w:1, o:62, a:1, s:1, b:0),
% 0.69/1.09 'v_A' [56, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.69/1.09 'v_r' [57, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.69/1.09 'v_sko__4mi' [58, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.69/1.09 'v_b' [59, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.69/1.09 'v_S' [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.69/1.09 'v_a' [61, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.69/1.09 'v_L' [62, 0] (w:1, o:24, a:1, s:1, b:0).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Starting Search:
% 0.69/1.09
% 0.69/1.09 Resimplifying inuse:
% 0.69/1.09 Done
% 0.69/1.09
% 0.69/1.09 Failed to find proof!
% 0.69/1.09 maxweight = 15
% 0.69/1.09 maxnrclauses = 10000000
% 0.69/1.09 Generated: 13
% 0.69/1.09 Kept: 12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 The strategy used was not complete!
% 0.69/1.09
% 0.69/1.09 Increased maxweight to 16
% 0.69/1.09
% 0.69/1.09 Starting Search:
% 0.69/1.09
% 0.69/1.09 Resimplifying inuse:
% 0.69/1.09 Done
% 0.69/1.09
% 0.69/1.09 Failed to find proof!
% 0.69/1.09 maxweight = 16
% 0.69/1.09 maxnrclauses = 10000000
% 0.69/1.09 Generated: 13
% 0.69/1.09 Kept: 12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 The strategy used was not complete!
% 0.69/1.09
% 0.69/1.09 Increased maxweight to 17
% 0.69/1.09
% 0.69/1.09 Starting Search:
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksems!, er is een bewijs:
% 0.69/1.09 % SZS status Unsatisfiable
% 0.69/1.09 % SZS output start Refutation
% 0.69/1.09
% 0.69/1.09 clause( 0, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, W, Z, Z ), T,
% 0.69/1.09 'tc_prod'( Z, Z ) ), ~( 'c_lessequals'( Y, 'c_Tarski_Ointerval'( T, U, W
% 0.69/1.09 , Z ), 'tc_set'( Z ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 1, [ ~( 'c_in'( Z, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a'
% 0.69/1.09 , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( X,
% 0.69/1.09 'v_r', Z ), X, 't_a' ), ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 2, [ ~( 'c_in'( Z, 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.69/1.09 'v_sko__4mi'( X, 'v_r', Z ), Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a',
% 0.69/1.09 't_a' ) ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.69/1.09 't_a', 't_a' ) ), ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 3, [ 'c_in'( 'v_b', 'v_A', 't_a' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 4, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 'v_a',
% 0.69/1.09 'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 5, [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 6, [ ~( 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 7, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 'v_b',
% 0.69/1.09 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 8, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'( 'v_sko__4mi'( 'v_S',
% 0.69/1.09 'v_r', X ), 'v_S', 't_a' ), 'c_in'( 'c_Pair'( 'v_L', X, 't_a', 't_a' ),
% 0.69/1.09 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 10, [ 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ), 'v_S', 't_a' ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 11, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L', X,
% 0.69/1.09 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.69/1.09 'v_sko__4mi'( 'v_S', 'v_r', X ), X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.69/1.09 't_a', 't_a' ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 12, [ ~( 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ), 'v_S', 't_a'
% 0.69/1.09 ) ), 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.69/1.09 't_a', 't_a' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 13, [] )
% 0.69/1.09 .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 % SZS output end Refutation
% 0.69/1.09 found a proof!
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 initialclauses(
% 0.69/1.09 [ clause( 15, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y,
% 0.69/1.09 'c_Tarski_Ointerval'( T, U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'(
% 0.69/1.09 X, W, Z, Z ), T, 'tc_prod'( Z, Z ) ) ] )
% 0.69/1.09 , clause( 16, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z
% 0.69/1.09 , 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( X, 'v_r', Z ), X,
% 0.69/1.09 't_a' ) ] )
% 0.69/1.09 , clause( 17, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z
% 0.69/1.09 , 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_sko__4mi'( X, 'v_r', Z ), Z,
% 0.69/1.09 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( Y
% 0.69/1.09 , Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 , clause( 18, [ 'c_in'( 'v_b', 'v_A', 't_a' ) ] )
% 0.69/1.09 , clause( 19, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 'v_a',
% 0.69/1.09 'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 0.69/1.09 , clause( 20, [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ] )
% 0.69/1.09 , clause( 21, [ ~( 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.69/1.09 ] ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 0, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, W, Z, Z ), T,
% 0.69/1.09 'tc_prod'( Z, Z ) ), ~( 'c_lessequals'( Y, 'c_Tarski_Ointerval'( T, U, W
% 0.69/1.09 , Z ), 'tc_set'( Z ) ) ) ] )
% 0.69/1.09 , clause( 15, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y,
% 0.69/1.09 'c_Tarski_Ointerval'( T, U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'(
% 0.69/1.09 X, W, Z, Z ), T, 'tc_prod'( Z, Z ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.69/1.09 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.09 , 1 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 1, [ ~( 'c_in'( Z, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a'
% 0.69/1.09 , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( X,
% 0.69/1.09 'v_r', Z ), X, 't_a' ), ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 16, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z
% 0.69/1.09 , 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( X, 'v_r', Z ), X,
% 0.69/1.09 't_a' ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 2, [ ~( 'c_in'( Z, 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.69/1.09 'v_sko__4mi'( X, 'v_r', Z ), Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a',
% 0.69/1.09 't_a' ) ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.69/1.09 't_a', 't_a' ) ), ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ) ] )
% 0.69/1.09 , clause( 17, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z
% 0.69/1.09 , 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_sko__4mi'( X, 'v_r', Z ), Z,
% 0.69/1.09 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( Y
% 0.69/1.09 , Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 3, [ 'c_in'( 'v_b', 'v_A', 't_a' ) ] )
% 0.69/1.09 , clause( 18, [ 'c_in'( 'v_b', 'v_A', 't_a' ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 4, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 'v_a',
% 0.69/1.09 'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 0.69/1.09 , clause( 19, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 'v_a',
% 0.69/1.09 'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 5, [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ] )
% 0.69/1.09 , clause( 20, [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 6, [ ~( 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.69/1.09 , clause( 21, [ ~( 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 22, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 'v_b',
% 0.69/1.09 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 , clause( 0, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, W, Z, Z ), T,
% 0.69/1.09 'tc_prod'( Z, Z ) ), ~( 'c_lessequals'( Y, 'c_Tarski_Ointerval'( T, U, W
% 0.69/1.09 , Z ), 'tc_set'( Z ) ) ) ] )
% 0.69/1.09 , 2, clause( 4, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 'v_a'
% 0.69/1.09 , 'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_S' ), :=( Z, 't_a' ), :=( T,
% 0.69/1.09 'v_r' ), :=( U, 'v_a' ), :=( W, 'v_b' )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 7, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 'v_b',
% 0.69/1.09 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 , clause( 22, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 'v_b'
% 0.69/1.09 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.09 1 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 23, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L', X,
% 0.69/1.09 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'(
% 0.69/1.09 'v_S', 'v_r', X ), 'v_S', 't_a' ) ] )
% 0.69/1.09 , clause( 1, [ ~( 'c_in'( Z, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( Y, Z,
% 0.69/1.09 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'(
% 0.69/1.09 X, 'v_r', Z ), X, 't_a' ), ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 3, clause( 5, [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, 'v_S' ), :=( Y, 'v_L' ), :=( Z, X )] ),
% 0.69/1.09 substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 8, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'( 'v_sko__4mi'( 'v_S',
% 0.69/1.09 'v_r', X ), 'v_S', 't_a' ), 'c_in'( 'c_Pair'( 'v_L', X, 't_a', 't_a' ),
% 0.69/1.09 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 , clause( 23, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L', X
% 0.69/1.09 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'(
% 0.69/1.09 'v_sko__4mi'( 'v_S', 'v_r', X ), 'v_S', 't_a' ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 24, [ ~( 'c_in'( 'v_b', 'v_A', 't_a' ) ), 'c_in'( 'v_sko__4mi'(
% 0.69/1.09 'v_S', 'v_r', 'v_b' ), 'v_S', 't_a' ) ] )
% 0.69/1.09 , clause( 6, [ ~( 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.69/1.09 , 0, clause( 8, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'( 'v_sko__4mi'(
% 0.69/1.09 'v_S', 'v_r', X ), 'v_S', 't_a' ), 'c_in'( 'c_Pair'( 'v_L', X, 't_a',
% 0.69/1.09 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_b' )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 25, [ 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ), 'v_S', 't_a' ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 24, [ ~( 'c_in'( 'v_b', 'v_A', 't_a' ) ), 'c_in'( 'v_sko__4mi'(
% 0.69/1.09 'v_S', 'v_r', 'v_b' ), 'v_S', 't_a' ) ] )
% 0.69/1.09 , 0, clause( 3, [ 'c_in'( 'v_b', 'v_A', 't_a' ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 10, [ 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ), 'v_S', 't_a' ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 25, [ 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ), 'v_S', 't_a' )
% 0.69/1.09 ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 26, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.69/1.09 'v_sko__4mi'( 'v_S', 'v_r', X ), X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.69/1.09 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_L', X, 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 , clause( 2, [ ~( 'c_in'( Z, 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.69/1.09 'v_sko__4mi'( X, 'v_r', Z ), Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a',
% 0.69/1.09 't_a' ) ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.69/1.09 't_a', 't_a' ) ), ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ) ] )
% 0.69/1.09 , 3, clause( 5, [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, 'v_S' ), :=( Y, 'v_L' ), :=( Z, X )] ),
% 0.69/1.09 substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 11, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L', X,
% 0.69/1.09 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.69/1.09 'v_sko__4mi'( 'v_S', 'v_r', X ), X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.69/1.09 't_a', 't_a' ) ) ) ] )
% 0.69/1.09 , clause( 26, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.69/1.09 'v_sko__4mi'( 'v_S', 'v_r', X ), X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.69/1.09 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_L', X, 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 27, [ ~( 'c_in'( 'v_b', 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L',
% 0.69/1.09 'v_b', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'(
% 0.69/1.09 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ), 'v_S', 't_a' ) ) ] )
% 0.69/1.09 , clause( 11, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L', X
% 0.69/1.09 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.69/1.09 'v_sko__4mi'( 'v_S', 'v_r', X ), X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.69/1.09 't_a', 't_a' ) ) ) ] )
% 0.69/1.09 , 2, clause( 7, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X,
% 0.69/1.09 'v_b', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 , 1, substitution( 0, [ :=( X, 'v_b' )] ), substitution( 1, [ :=( X,
% 0.69/1.09 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 28, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b'
% 0.69/1.09 ), 'v_S', 't_a' ) ) ] )
% 0.69/1.09 , clause( 27, [ ~( 'c_in'( 'v_b', 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L'
% 0.69/1.09 , 'v_b', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'(
% 0.69/1.09 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ), 'v_S', 't_a' ) ) ] )
% 0.69/1.09 , 0, clause( 3, [ 'c_in'( 'v_b', 'v_A', 't_a' ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 12, [ ~( 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ), 'v_S', 't_a'
% 0.69/1.09 ) ), 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.69/1.09 't_a', 't_a' ) ) ] )
% 0.69/1.09 , clause( 28, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b'
% 0.69/1.09 ), 'v_S', 't_a' ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 29, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 , clause( 12, [ ~( 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ), 'v_S',
% 0.69/1.09 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 , 0, clause( 10, [ 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ), 'v_S',
% 0.69/1.09 't_a' ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 30, [] )
% 0.69/1.09 , clause( 6, [ ~( 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.69/1.09 , 0, clause( 29, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.69/1.09 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 13, [] )
% 0.69/1.09 , clause( 30, [] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 end.
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 Memory use:
% 0.69/1.09
% 0.69/1.09 space for terms: 508
% 0.69/1.09 space for clauses: 1220
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 clauses generated: 14
% 0.69/1.09 clauses kept: 14
% 0.69/1.09 clauses selected: 12
% 0.69/1.09 clauses deleted: 1
% 0.69/1.09 clauses inuse deleted: 0
% 0.69/1.09
% 0.69/1.09 subsentry: 2
% 0.69/1.09 literals s-matched: 2
% 0.69/1.09 literals matched: 2
% 0.69/1.09 full subsumption: 0
% 0.69/1.09
% 0.69/1.09 checksum: -320777561
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksem ended
%------------------------------------------------------------------------------